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This page is intended to publish and share results on magic factors and shifts (64 - Bits used) for most dense magic bitboards tables. Little endian file and rank mapping is used (a1 = 0), for other mappings simply transform the square.

If you prefer your own magics, see Looking for Magics.

Legende

• sq - the square of a rook or bishop considering little endian file and rank mapping
• #sq - index of that square in the 0..63 range
• premask - the mask to get all relevant occupied bits, considering the inner six bits.
• bits - the population count of premask
• used - hopefully less than bits, determines the shift (64 - used)
• magic - the magic factor
• postmask - attacks on the otherwise empty board
• found by (optional) - the person who found that number.

Rook Magics

sq	#sq	premask	bits	used	magic	postmask	found by
a1	0	0x000101010101017E . . . . . . . . 1 . . . . . . . 1 . . . . . . . 1 . . . . . . . 1 . . . . . . . 1 . . . . . . . 1 . . . . . . . . 1 1 1 1 1 1 .	12			0x01010101010101FE 1 . . . . . . . 1 . . . . . . . 1 . . . . . . . 1 . . . . . . . 1 . . . . . . . 1 . . . . . . . 1 . . . . . . . . 1 1 1 1 1 1 1
b1	1	0x000202020202027C	11			0x02020202020202FD
c1	2	0x000404040404047A	11			0x04040404040404FB
d1	3	0x0008080808080876	11			0x08080808080808F7
e1	4	0x001010101010106E	11			0x10101010101010EF
f1	5	0x002020202020205E	11
g1	6	0x004040404040403E	11
h1	7	0x008080808080807E	12			0x808080808080807F
a2	8	0x0001010101017E00	11			0x010101010101FE01
b2	9	0x0002020202027C00	10			0x020202020202FD02
c2	10		10
d2	11		10
e2	12		10
f2	13		10
g2	14		10
h2	15		11
a3	16		11
b3	17		10
c3	18		10
d3	19		10
e3	20		10
f3	21		10
g3	22		10
h3	23		11
a4	24		11
b4	25		10
c4	26		10
d4	27		10
e4	28		10
f4	29		10
g4	30		10
h4	31		11
a5	32		11
b5	33		10
c5	34		10
d5	35		10
e5	36		10
f5	37		10
g5	38		10
h5	39		11
a6	40		11
b6	41		10
c6	42		10
d6	43		10
e6	44		10
f6	45		10
g6	46		10
h6	47		11
a7	48	0x007E010101010100	11	10	0x48FFFE99FECFAA00	0x01FE010101010101	Grant Osborne
b7	49	0x007C020202020200	10	9	0x48FFFE99FECFAA00	0x02FD020202020202	Grant Osborne
c7	50		10	9	0x497FFFADFF9C2E00		Grant Osborne
d7	51		10	9	0x613FFFDDFFCE9200		Grant Osborne
e7	52		10	9	0xffffffe9ffe7ce00		Volker Annuss
f7	53		10	9	0xfffffff5fff3e600		Volker Annuss
g7	54		10	9	0x3ff95e5e6a4c0		Niklas Fiekas
h7	55	0x007E808080808000	11	10	0x510FFFF5F63C96A0	0x807F808080808080	Grant Osborne
a8	56	0x7E01010101010100	12	11	0xEBFFFFB9FF9FC526	0xFE01010101010101	Grant Osborne
b8	57	0x7C02020202020200	11	10	0x61FFFEDDFEEDAEAE	0xFD02020202020202	Grant Osborne
c8	58	0x7A04040404040400	11	10	0x53BFFFEDFFDEB1A2	0xFB04040404040404	Grant Osborne
d8	59	0x7608080808080800	11	10	0x127FFFB9FFDFB5F6	0xF708080808080808	Grant Osborne
e8	60	0x6E10101010101000	11	10	0x411FFFDDFFDBF4D6	0xEF10101010101010	Grant Osborne
f8	61		11
g8	62	0x3E40404040404000	11	10	0x0003ffef27eebe74	0xBF40404040404040	Peter Österlund
h8	63	0x7E80808080808000	12	11	0x7645FFFECBFEA79E	0x7F80808080808080	Grant Osborne

Bishop Magics

sq	#sq	premask	bits	used	magic	postmask	found by
a1	0	0x0040201008040200 . . . . . . . . . . . . . . 1 . . . . . . 1 . . . . . . 1 . . . . . . 1 . . . . . . 1 . . . . . . 1 . . . . . . . . . . . . . .	6	5	0xffedf9fd7cfcffff	0x8040201008040200 . . . . . . . 1 . . . . . . 1 . . . . . . 1 . . . . . . 1 . . . . . . 1 . . . . . . 1 . . . . . . 1 . . . . . . . . . . . . . .	Gerd Isenberg
b1	1		5	4	0xfc0962854a77f576		Gerd Isenberg
c1	2		5	5	0xE433BF9FF9BD3C0DL
d1	3		5	5	0x8F0BBE9CF98C0405L
e1	4		5	5	0x7E11DFD9DDFBDBF0L
f1	5		5
g1	6		5	4	0xfc0a66c64a7ef576		Gerd Isenberg
h1	7		6	5	0x7ffdfdfcbd79ffff		Gerd Isenberg
a2	8		5	4	0xfc0846a64a34fff6		Gerd Isenberg
b2	9		5	4	0xfc087a874a3cf7f6		Gerd Isenberg
c2	10		5	5	0x0040020042188680L
d2	11		5	5	0x0080000108D80200L
e2	12		5	5	0xF2048D48B0240820L
f2	13		5	5	0x810040B921030010L
g2	14		5	4	0xfc0864ae59b4ff76		Gerd Isenberg
h2	15		5	4	0x3c0860af4b35ff76		Gerd Isenberg
a3	16		5	4	0x73C01AF56CF4CFFB		Richard Pijl
b3	17		5	4	0x41A01CFAD64AAFFC		Richard Pijl
c3	18		7
d3	19		7
e3	20		7
f3	21		7
g3	22		5	4	0x7c0c028f5b34ff76		Gerd Isenberg
h3	23		5	4	0xfc0a028e5ab4df76		Gerd Isenberg
a4	24		5
b4	25		5
c4	26		7
d4	27		9
e4	28		9
f4	29		7
g4	30		5
h4	31		5
a5	32		5
b5	33		5
c5	34		7
d5	35		9
e5	36		9
f5	37		7
g5	38		5
h5	39		5
a6	40		5	4	0xDCEFD9B54BFCC09F		Richard Pijl
b6	41		5	4	0xF95FFA765AFD602B		Richard Pijl
c6	42		7
d6	43		7
e6	44		7
f6	45		7
g6	46		5	4	0x43ff9a5cf4ca0c01		Gerd Isenberg
h6	47		5	4	0x4BFFCD8E7C587601		Richard Pijl
a7	48		5	4	0xfc0ff2865334f576		Gerd Isenberg
b7	49		5	4	0xfc0bf6ce5924f576		Gerd Isenberg
c7	50		5
d7	51		5
e7	52		5
f7	53		5
g7	54		5	4	0xc3ffb7dc36ca8c89		Gerd Isenberg
h7	55		5	4	0xc3ff8a54f4ca2c89		Gerd Isenberg
a8	56		6	5	0xfffffcfcfd79edff		Gerd Isenberg
b8	57		5	4	0xfc0863fccb147576		Gerd Isenberg
c8	58		5
d8	59		5
e8	60		5
f8	61		5
g8	62		5	4	0xfc087e8e4bb2f736		Gerd Isenberg
h8	63		6	5	0x43ff9e4ef4ca2c89		Gerd Isenberg

Forum Posts

• Looking for dense magics by Lucas Braesch, CCC, July 11, 2017
• Disproving the existence of some magics by Niklas Fiekas, CCC, September 16, 2017
• No bishop magics with fixed shift 8 by Niklas Fiekas, CCC, April 09, 2018

External Links

• Tehran Wind Orchestra - Mission Impossible, Vahdat Hall, Tehran, Iran, YouTube Video
  

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